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| #include<algorithm> #include<iostream> #include<iomanip> #include<cstring> #include<cstdlib> #include<climits> #include<vector> #include<cstdio> #include<cmath> #include<queue> using namespace std;
typedef long long LL;
inline const int Get_Int() { int num=0,bj=1; char x=getchar(); while(x<'0'||x>'9') { if(x=='-')bj=-1; x=getchar(); } while(x>='0'&&x<='9') { num=num*10+x-'0'; x=getchar(); } return num*bj; }
const int maxn=125,mod=45989;
struct Matrix { LL n,m,a[maxn][maxn]; Matrix(LL n,LL m) { init(n,m); } Matrix(LL n,LL m,char E) { init(n,m); for(int i=1; i<=n; i++)a[i][i]=1; } void init(LL n,LL m) { this->n=n; this->m=m; memset(a,0,sizeof(a)); } LL* operator [] (const LL x) { return a[x]; } Matrix operator * (Matrix& b) { Matrix c(n,b.m); for(int i=1; i<=n; i++) for(int j=1; j<=b.m; j++) for(int k=1; k<=m; k++) c[i][j]=(c[i][j]+a[i][k]*b[k][j])%mod; return c; } void operator *= (Matrix& b) { *this=*this*b; } Matrix operator ^ (LL b) { Matrix ans(n,m,'e'),a=*this; while(b>0) { if(b&1)ans=ans*a; a*=a; b>>=1; } return ans; } };
struct Edge { int from,to,id; };
LL n,m,len,s,t,from[maxn],to[maxn],ans=0; vector<Edge>edges[maxn];
void AddEdge(int x,int y,int id) { edges[x].push_back((Edge) { x,y,id }); }
int inv(int id) { if(id&1)return id+1; return id-1; }
int main() { n=Get_Int(); m=Get_Int(); len=Get_Int(); s=Get_Int()+1; t=Get_Int()+1; for(int i=1; i<=m; i++) { int x=Get_Int()+1,y=Get_Int()+1; AddEdge(x,y,2*i-1); AddEdge(y,x,2*i); from[2*i-1]=x; to[2*i-1]=y; from[2*i]=y; to[2*i]=x; } Matrix M(2*m,2*m); for(int i=1; i<=2*m; i++) { int Now=to[i]; for(Edge& e:edges[Now]) { int Next=e.to; if(e.id==inv(i))continue; M[i][e.id]=1; } } M=M^(len-1); for(Edge& out:edges[s]) for(Edge& in:edges[t]) ans=(ans+M[out.id][inv(in.id)])%mod; printf("%lld\n",ans); return 0; }
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